Squeezing of a coupled state of two spinors

Devi, A. R. Usha; Mallesh, K. S.; Sbaih, Mahmoud A. A.; Nalini, K B; Ramachandran, G.

doi:10.1088/0305-4470/36/19/310

Cited by 11 publications

(4 citation statements)

References 20 publications

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“…The investigation of squeezed states of light [1] is of fundamental interest, and has applications to practical precision measurements [2,3]. Recently, spin squeezed states for an ensemble of atoms [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24] have become important, with potential applications to atomic interferometers and precise atomic clocks. For quantum information applications [25], the close relation between atomic spin squeezing and quantum entanglement [26,27,28,29,30] enhance the importance of atomic spin squeezing.…”

Section: Introductionmentioning

confidence: 99%

Relations between bosonic quadrature squeezing and atomic spin squeezing

Wang

Sanders

2003

Phys. Rev. A

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We study relations between bosonic quadrature squeezing and atomic spin squeezing, and find that the latter reduces to the former in the limit of a large number of atoms for even and odd states. We demonstrate this reduction by treating even and odd spin coherent states, for which analytical solutions are readily obtained, and prove that even spin coherent states always exhibit spin squeezing, whereas odd spin coherent states do not, analogous to the squeezing characteristic of even and odd bosonic coherent states. Finally, we examine the squeezing transfer between photons and atoms via the Dicke Hamiltonian, where a perfect transfer of squeezing is demonstrated in the limit of a large number of atoms.Comment: 7 pages, 3 figures. Version 2: Title was changed and some points were clarified. An addtional result is that the spin squeezing defined by Wineland et al. also reduces to the bosonic quadrature squeezing in the limit of large number of particle

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Section: Introductionmentioning

confidence: 99%

Relations between bosonic quadrature squeezing and atomic spin squeezing

Wang

Sanders

2003

Phys. Rev. A

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“…It may be pointed out here that squeezed radiation states have already received considerable attention as basic ingredients of nonclassicality in the theory of continuous variable QIS [6]. On the other hand, in discrete variable QIS, which is based mainly on two-level systems (atoms with two internal levels or qubits), there have been intense efforts recently [7,8,9,10,11,12,13,14] to understand the intrinsic link between spin squeezing and entanglement. In this paper, we report theoretical efforts on developing quantitative measures of spin squeezing and also relate spin squeezing with quantum entanglement in multiatomic (multiqubit) systems.…”

Section: Introductionmentioning

confidence: 99%

Spin Squeezing and Quantum Correlations

Devi¹,

Sudha²

2011

Preprint

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Recent years have witnessed revolutionary improvement in the production, manipulation, characterization and quantification of multiatom (multiqubit) states -because of their promising applications in high precision atomic clocks, atomic interferrometry, quantum metrology and quantum information protocols. In the characterization and quantification of non-classical atomic correlations, two concepts namely, spin squeezing and quantum entanglement emerge. While spin squeezing originates from the uncertainty relation between atomic collective angular momentum operators, entanglement is a peculiar phenomena arising due to superpositions in the multiparticle Hilbert space. Here, we outline different quantitative measures of spin squeezing and discuss the intrinsic relation of spin squeezing with quantum entanglement in multiqubit systems.

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“…While complete characterization of multi-particle entanglement still remains a major task, collective behaviour such as spin squeezing [1, 2, 3,4,5,6,7,8,9,16,17,18,19,20,21,22,23,24,25,26,27], exhibited by multi-atom systems, has been proposed as a signature of quantum correlation between the atoms. A connection between spin squeezing and the nature of quantum entanglement has been explored [26,27] and it is shown that the presence of spin squeezing essentially reflects pairwise entanglement.…”

Section: Introductionmentioning

confidence: 99%

Local Invariants and Pairwise Entanglement in Symmetric Multiqubit System

Devi

Uma

Prabhu

et al. 2006

Int. J. Mod. Phys. B

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Pairwise entanglement properties of a symmetric multi-qubit system are analyzed through a complete set of two-qubit local invariants. Collective features of entanglement, such as spin squeezing, are expressed in terms of invariants and a classification scheme for pairwise entanglement is proposed. The invariant criteria given here are shown to be related to the recently proposed (Phys. Rev. Lett. 95, 120502 (2005)) generalized spin squeezing inequalities for pairwise entanglement in symmetric multi-qubit states.

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Squeezing of a coupled state of two spinors

Cited by 11 publications

References 20 publications

Relations between bosonic quadrature squeezing and atomic spin squeezing

Relations between bosonic quadrature squeezing and atomic spin squeezing

Spin Squeezing and Quantum Correlations

Local Invariants and Pairwise Entanglement in Symmetric Multiqubit System

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